This paper studies the good-case latency of unauthenticated Byzantine fault-tolerant broadcast, which measures the time it takes for all non-faulty parties to commit given a non-faulty broadcaster. For both asynchrony and synchrony, we show that n ≥ 4f is the tight resilience threshold that separates good-case 2 rounds and 3 rounds. For asynchronous Byzantine reliable broadcast (BRB), we also investigate the bad-case latency for all non-faulty parties to commit when the broadcaster is faulty but some non-faulty party commits. We provide matching upper and lower bounds on the resilience threshold of bad-case latency for BRB protocols with optimal good-case latency of 2 rounds. In particular, we show 2 impossibility results and propose 4 asynchronous BRB protocols.
@InProceedings{abraham_et_al:LIPIcs.OPODIS.2021.5, author = {Abraham, Ittai and Ren, Ling and Xiang, Zhuolun}, title = {{Good-Case and Bad-Case Latency of Unauthenticated Byzantine Broadcast: A Complete Categorization}}, booktitle = {25th International Conference on Principles of Distributed Systems (OPODIS 2021)}, pages = {5:1--5:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-219-8}, ISSN = {1868-8969}, year = {2022}, volume = {217}, editor = {Bramas, Quentin and Gramoli, Vincent and Milani, Alessia}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.OPODIS.2021.5}, URN = {urn:nbn:de:0030-drops-157806}, doi = {10.4230/LIPIcs.OPODIS.2021.5}, annote = {Keywords: Byzantine broadcast, asynchrony, synchrony, latency, good-case, optimal} }
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